177142 ÷ 69 
Our goal is to divide 177142 by 69.

Step 1:
The number 69 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 69

On to step 2:
When dividing 17 by 69, we get 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 69

Moving on to step 3:
177 divided by 69 is 2 with a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 39 after subtracting 138 from 177.
Take the next digit (1) from the dividend and append it to 39, then repeat: 391 / 69

Step 4:
69 goes into 391 5 times with a remainder of 46.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 345 from 391 leaves us with 46.
Append the next digit (4) from the dividend to 46 and continue with: 464 / 69

Moving on to step 5:
When dividing 464 by 69, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 256.0
The remainder is 50 after subtracting 414 from 464.
Take the next digit (2) from the dividend and append it to 50, then repeat: 502 / 69

On to step 6:
When dividing 502 by 69, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 2567.0
Deduct 483 from 502 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
When dividing 190 by 69, we get 2 with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 2567.2
If we take 138 away from 190, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
The number 69 fits into 520 7 times, leaving a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 2567.27
The remainder is 37 after subtracting 483 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
When dividing 370 by 69, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2567.275
Subtract 345 from 370 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
69 can be fit into 250 3 times, resulting in a remainder of 43.
The next digit of our result is 3. 
Result so far: 2567.2753
The remainder is 43 after subtracting 207 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 11:
430 divided by 69 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 2567.27536
If we subtract 414 from 430, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
The number 69 fits into 160 2 times, leaving a remainder of 22.
The next digit of our result is 2. 
Result so far: 2567.275362
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
69 can be fit into 220 3 times, resulting in a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 2567.2753623
Subtracting 207 from 220 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
The number 69 fits into 130 1 times, leaving a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 2567.27536231
The remainder is 61 after subtracting 69 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Our division results in 2567.27536231 with a remaining 6.1e-08.